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Finding the Fourth Proportional to 21,512.01, 32,269.64 and 5,929.50

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Solution

The fourth proportional to 21,512.01, 32,269.64 and 5,929.50 is: 8,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.01 : 32,269.64 = 5,929.50 : x
  2. Step 2: Convert to fraction form
    21,512.01/32,269.64 = 5,929.50/x
  3. Step 3: Cross multiply
    21,512.01x = 32,269.64 × 5,929.50
  4. Step 4: Simplify right side
    21,512.01x = 191,342,800.73
  5. Step 5: Solve for x
    x = 191,342,800.73/21,512.01
  6. Step 6: Final answer
    x = 8,894.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.